Solve y=-4/3x-5/3

$$y=- \frac{ 4 }{ 3 } x- \frac{ 5 }{ 3 }$$

Solve for x

$$x=\frac{-3y-5}{4}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$-\frac{4}{3}x-\frac{5}{3}=y$$

Add \frac{5}{3} to both sides.

$$-\frac{4}{3}x=y+\frac{5}{3}$$

Divide both sides of the equation by -\frac{4}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{4}{3}x}{-\frac{4}{3}}=\frac{y+\frac{5}{3}}{-\frac{4}{3}}$$

Dividing by -\frac{4}{3} undoes the multiplication by -\frac{4}{3}.

$$x=\frac{y+\frac{5}{3}}{-\frac{4}{3}}$$

Divide y+\frac{5}{3} by -\frac{4}{3} by multiplying y+\frac{5}{3} by the reciprocal of -\frac{4}{3}.

$$x=\frac{-3y-5}{4}$$

Solve for y

$$y=\frac{-4x-5}{3}$$